Path allocation in a three-stage broadband switch with intermediate channel grouping

A method for path allocation for use with three-stage ATM switches that feature multiple channels between the switch modules in adjacent stages is described. The method is suited to hardware implementation using parallelism to achieve a very short execution time. This allows path allocation to be performed anew in each time slot. A detailed description of the necessary hardware is presented. This hardware counts the number of cells requesting each output module, allocates a path through the intermediate stage of the switch to each cell, and generates a routing tag for each cell, indicating the path assigned to i

Cell-level path allocation in a three-stage ATM switch

A method of cell-level path allocation for three-stage ATM switches has previously been proposed by the authors. The performance of ATM switches using this path allocation algorithm has been evaluated by simulation, and is described. Both uniform and non-uniform models of output loading are considered. The algorithm requires knowledge of the number of cells requesting each output module from a given input module. A fast method for counting the number of requests is described

The balance of growth and risk in population dynamics

Essential to each other, growth and exploration are jointly observed in populations, be it alive such as animals and cells or inanimate such as goods and money. But their ability to move, crucial to cope with uncertainty and optimize returns, is tempered by the space/time properties of the environment. We investigate how the environment shape optimal growth and population distribution in such conditions. We uncover a trade-off between risks and returns by revisiting a common growth model over general graphs. Our results reveal a rich and nuanced picture: fruitful strategies commonly lead to risky positions, but this tension may nonetheless be alleviated by the geometry of the explored space. The applicability of our conclusions is subsequently illustrated over an empirical study of financial data.Comment: 11 pages, 5 figure

The Parabolic Infinite-Laplace Equation in Carnot groups

By employing a Carnot parabolic maximum principle, we show existence-uniqueness of viscosity solutions to a class of equations modeled on the parabolic infinite Laplace equation in Carnot groups. We show stability of solutions within the class and examine the limit as t goes to infinity